SOLUTION: A bicycle has a front wheel with a diameter of 35 cm and a back wheel with a diameter of 50 cm. Through what angle (in radians) does the back wheel turn if the front wheel traveled

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A bicycle has a front wheel with a diameter of 35 cm and a back wheel with a diameter of 50 cm. Through what angle (in radians) does the back wheel turn if the front wheel traveled      Log On


   

Question 1034721: A bicycle has a front wheel with a diameter of 35 cm and a back wheel with a diameter of 50 cm. Through what angle (in radians) does the back wheel turn if the front wheel traveled 30m? How many radians did the front wheel turn?
Answer by fractalier(6550) About Me  (Show Source):
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The circumferences of the front and rear wheels are .35(pi) and .5(pi) m, respectively.
If the front wheel turns 30m, then it has turned 30/(.35(pi)) = 27.28 revolutions = 27.28(2pi) radians = 171.4 radians
The back wheel has also traveled 30 m. Thus 30 m/.5 pi = 19.1 revs = 120 radians